/******************************************************************************
 * $Id$
 *
 * Project:  Arc/Info Binary Grid Translator
 * Purpose:  Code for decoding CCITT RLE (G1) compressed data.
 * Author:   Frank Warmerdam, warmerdam@pobox.com
 *           Code derived from libtiff (tif_fax3), which originally was
 *           derived from code by Frank Cringle in viewfax.
 *
 ******************************************************************************
 * Copyright (c) 2002 Frank Warmerdam <warmerdam@pobox.com>
 * Copyright (c) 1990-1997 Sam Leffler
 * Copyright (c) 1991-1997 Silicon Graphics, Inc.
 * Copyright (c) 2009-2013, Even Rouault <even dot rouault at spatialys.com>
 *
 * Permission to use, copy, modify, distribute, and sell this software and
 * its documentation for any purpose is hereby granted without fee, provided
 * that (i) the above copyright notices and this permission notice appear in
 * all copies of the software and related documentation, and (ii) the names of
 * Sam Leffler and Silicon Graphics may not be used in any advertising or
 * publicity relating to the software without the specific, prior written
 * permission of Sam Leffler and Silicon Graphics.
 *
 * THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
 * EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
 * WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
 *
 * IN NO EVENT SHALL SAM LEFFLER OR SILICON GRAPHICS BE LIABLE FOR
 * ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND,
 * OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
 * WHETHER OR NOT ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF
 * LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
 * OF THIS SOFTWARE.
 ****************************************************************************/

#include <assert.h>
#include "aigrid.h"

/* ==================================================================== */
/*      Various declarations for the decompression state machine        */
/*      cribbed from tif_fax3.h in libtiff.                             */
/* ==================================================================== */

#define	    FAXMODE_CLASSIC	0x0000		/* default, include RTC */
#define	    FAXMODE_NORTC	0x0001		/* no RTC at end of data */
#define	    FAXMODE_NOEOL	0x0002		/* no EOL code at end of row */
#define	    FAXMODE_BYTEALIGN	0x0004		/* byte align row */
#define	    FAXMODE_WORDALIGN	0x0008		/* word align row */
#define	    FAXMODE_CLASSF	FAXMODE_NORTC	/* TIFF Class F */

/*
 * To override the default routine used to image decoded
 * spans one can use the pseudo tag TIFFTAG_FAXFILLFUNC.
 * The routine must have the type signature given below;
 * for example:
 *
 * fillruns(unsigned char* buf, uint32* runs, uint32* erun, uint32 lastx)
 *
 * where buf is place to set the bits, runs is the array of b&w run
 * lengths (white then black), erun is the last run in the array, and
 * lastx is the width of the row in pixels.  Fill routines can assume
 * the run array has room for at least lastx runs and can overwrite
 * data in the run array as needed (e.g. to append zero runs to bring
 * the count up to a nice multiple).
 */
typedef	void (*TIFFFaxFillFunc)(unsigned char*, GUInt32*, GUInt32*, GUInt32);

/* finite state machine codes */


#define S_Null		0
#define S_Pass		1
#define S_Horiz		2
#define S_V0		3
#define S_VR		4
#define S_VL		5
#define S_Ext		6
#define S_TermW		7
#define S_TermB		8
#define S_MakeUpW	9
#define S_MakeUpB	10
#define S_MakeUp	11
#define S_EOL		12

typedef struct {		/* state table entry */
	unsigned char State;	/* see above */
	unsigned char Width;	/* width of code in bits */
	GUInt16	Param;		/* unsigned 16-bit run length in bits */
} TIFFFaxTabEnt;

#if 0  /* Unused */
static const TIFFFaxTabEnt aig_TIFFFaxMainTable[128] = {
{12,7,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},{1,4,0},{3,1,0},{5,3,1},{3,1,0},
{2,3,0},{3,1,0},{4,3,1},{3,1,0},{5,6,2},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},
{1,4,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},{5,7,3},{3,1,0},{5,3,1},{3,1,0},
{2,3,0},{3,1,0},{4,3,1},{3,1,0},{1,4,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},
{4,6,2},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},{1,4,0},{3,1,0},{5,3,1},{3,1,0},
{2,3,0},{3,1,0},{4,3,1},{3,1,0},{6,7,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},
{1,4,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},{5,6,2},{3,1,0},{5,3,1},{3,1,0},
{2,3,0},{3,1,0},{4,3,1},{3,1,0},{1,4,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},
{4,7,3},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},{1,4,0},{3,1,0},{5,3,1},{3,1,0},
{2,3,0},{3,1,0},{4,3,1},{3,1,0},{4,6,2},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0},
{1,4,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0}
};
#endif  /* Unused */

static const TIFFFaxTabEnt aig_TIFFFaxWhiteTable[4096] = {
{12,11,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},
{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},
{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1472},{7,4,5},{7,8,43},{7,6,17},{9,9,1216},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},
{7,8,41},{7,6,16},{9,9,960},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,704},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},
{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,11,1792},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,832},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},
{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1600},{7,4,5},
{7,8,44},{7,6,17},{9,9,1344},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},
{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1088},{7,4,6},
{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},
{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1536},{7,4,5},{7,8,43},{7,6,17},{9,9,1280},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},
{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,1024},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,768},{7,4,6},
{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{11,11,1856},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,896},{7,4,6},
{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},
{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1728},{7,4,5},{7,8,44},{7,6,17},{9,9,1408},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},
{7,8,42},{7,6,16},{9,9,1152},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},
{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},
{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1472},{7,4,5},
{7,8,43},{7,6,17},{9,9,1216},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},
{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,960},{7,4,6},
{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,9,704},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2112},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,40},{7,6,16},{9,9,832},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},
{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1600},{7,4,5},{7,8,44},{7,6,17},{9,9,1344},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},
{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1088},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},
{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},
{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},
{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1536},{7,4,5},{7,8,43},{7,6,17},{9,9,1280},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},
{7,8,41},{7,6,16},{9,9,1024},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,768},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},
{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2368},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,896},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},
{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1728},{7,4,5},
{7,8,44},{7,6,17},{9,9,1408},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},
{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1152},{7,4,6},
{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},
{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1472},{7,4,5},{7,8,43},{7,6,17},{9,9,1216},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},
{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,960},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,704},{7,4,6},
{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{11,12,1984},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,832},{7,4,6},
{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},
{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1600},{7,4,5},{7,8,44},{7,6,17},{9,9,1344},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},
{7,8,42},{7,6,16},{9,9,1088},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},
{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},
{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1536},{7,4,5},
{7,8,43},{7,6,17},{9,9,1280},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},
{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,1024},{7,4,6},
{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,9,768},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,11,1920},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,40},{7,6,16},{9,9,896},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},
{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1728},{7,4,5},{7,8,44},{7,6,17},{9,9,1408},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},
{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1152},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},
{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},
{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},
{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1472},{7,4,5},{7,8,43},{7,6,17},{9,9,1216},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},
{7,8,41},{7,6,16},{9,9,960},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,704},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},
{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2240},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,832},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},
{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1600},{7,4,5},
{7,8,44},{7,6,17},{9,9,1344},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},
{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1088},{7,4,6},
{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},
{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1536},{7,4,5},{7,8,43},{7,6,17},{9,9,1280},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},
{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,1024},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,768},{7,4,6},
{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{11,12,2496},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,896},{7,4,6},
{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},
{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1728},{7,4,5},{7,8,44},{7,6,17},{9,9,1408},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},
{7,8,42},{7,6,16},{9,9,1152},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},
{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{12,11,0},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},
{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1472},{7,4,5},
{7,8,43},{7,6,17},{9,9,1216},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},
{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,960},{7,4,6},
{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,9,704},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,11,1792},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,40},{7,6,16},{9,9,832},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},
{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1600},{7,4,5},{7,8,44},{7,6,17},{9,9,1344},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},
{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1088},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},
{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},
{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},
{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1536},{7,4,5},{7,8,43},{7,6,17},{9,9,1280},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},
{7,8,41},{7,6,16},{9,9,1024},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,768},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},
{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,11,1856},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,896},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},
{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1728},{7,4,5},
{7,8,44},{7,6,17},{9,9,1408},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},
{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1152},{7,4,6},
{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},
{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1472},{7,4,5},{7,8,43},{7,6,17},{9,9,1216},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},
{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,960},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,704},{7,4,6},
{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{11,12,2176},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,832},{7,4,6},
{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},
{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1600},{7,4,5},{7,8,44},{7,6,17},{9,9,1344},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},
{7,8,42},{7,6,16},{9,9,1088},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},
{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},
{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1536},{7,4,5},
{7,8,43},{7,6,17},{9,9,1280},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},
{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,1024},{7,4,6},
{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,9,768},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2432},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,40},{7,6,16},{9,9,896},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},
{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1728},{7,4,5},{7,8,44},{7,6,17},{9,9,1408},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},
{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1152},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},
{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},
{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},
{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1472},{7,4,5},{7,8,43},{7,6,17},{9,9,1216},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},
{7,8,41},{7,6,16},{9,9,960},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,704},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},
{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2048},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,832},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},
{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1600},{7,4,5},
{7,8,44},{7,6,17},{9,9,1344},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},
{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1088},{7,4,6},
{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},
{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1536},{7,4,5},{7,8,43},{7,6,17},{9,9,1280},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},
{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,1024},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,768},{7,4,6},
{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{11,11,1920},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,896},{7,4,6},
{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},
{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1728},{7,4,5},{7,8,44},{7,6,17},{9,9,1408},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},
{7,8,42},{7,6,16},{9,9,1152},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},
{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{0,0,0},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},{7,7,19},{7,5,8},{7,8,55},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},{7,8,53},{7,5,9},{9,8,448},{7,4,6},
{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1472},{7,4,5},
{7,8,43},{7,6,17},{9,9,1216},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,33},{9,5,128},{7,8,49},{7,6,14},
{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},{7,8,41},{7,6,16},{9,9,960},{7,4,6},
{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,9,704},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},{9,8,320},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2304},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},
{7,8,40},{7,6,16},{9,9,832},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},{7,8,36},{9,5,128},{7,8,52},{7,6,15},
{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1600},{7,4,5},{7,8,44},{7,6,17},{9,9,1344},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,30},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},{7,8,62},{7,4,4},{7,4,2},{7,4,7},
{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1088},{7,4,6},{7,8,32},{7,5,8},{7,8,58},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,8,640},{7,4,6},
{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},
{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{0,0,0},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},
{7,7,28},{7,4,4},{7,4,2},{7,4,7},{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,39},{7,6,16},{9,8,576},{7,4,6},
{7,7,19},{7,5,8},{7,8,55},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,45},{7,4,3},{7,5,11},{7,4,5},
{7,8,53},{7,5,9},{9,8,448},{7,4,6},{7,8,35},{9,5,128},{7,8,51},{7,6,15},{7,8,63},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{9,9,1536},{7,4,5},{7,8,43},{7,6,17},{9,9,1280},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,29},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},
{7,8,33},{9,5,128},{7,8,49},{7,6,14},{7,8,61},{7,4,4},{7,4,2},{7,4,7},{7,8,47},{7,4,3},{7,8,59},{7,4,5},
{7,8,41},{7,6,16},{9,9,1024},{7,4,6},{7,8,31},{7,5,8},{7,8,57},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,7,22},{7,4,3},{7,5,11},{7,4,5},{7,7,26},{7,5,9},{9,9,768},{7,4,6},{7,8,37},{9,5,128},{7,7,25},{7,6,15},
{9,8,320},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},
{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{11,12,2560},{7,4,3},{7,5,11},{7,4,5},
{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,7,20},{9,5,128},{7,7,24},{7,6,14},{7,7,28},{7,4,4},{7,4,2},{7,4,7},
{7,7,23},{7,4,3},{7,7,27},{7,4,5},{7,8,40},{7,6,16},{9,9,896},{7,4,6},{7,7,19},{7,5,8},{7,8,56},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,8,46},{7,4,3},{7,5,11},{7,4,5},{7,8,54},{7,5,9},{9,8,512},{7,4,6},
{7,8,36},{9,5,128},{7,8,52},{7,6,15},{7,8,0},{7,4,4},{7,4,2},{7,4,7},{7,6,13},{7,4,3},{9,9,1728},{7,4,5},
{7,8,44},{7,6,17},{9,9,1408},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},
{7,8,30},{7,4,3},{7,5,11},{7,4,5},{7,6,12},{7,5,9},{9,6,1664},{7,4,6},{7,8,34},{9,5,128},{7,8,50},{7,6,14},
{7,8,62},{7,4,4},{7,4,2},{7,4,7},{7,8,48},{7,4,3},{7,8,60},{7,4,5},{7,8,42},{7,6,16},{9,9,1152},{7,4,6},
{7,8,32},{7,5,8},{7,8,58},{9,5,64},{7,5,10},{7,4,4},{7,4,2},{7,4,7},{7,7,22},{7,4,3},{7,5,11},{7,4,5},
{7,7,26},{7,5,9},{9,8,640},{7,4,6},{7,8,38},{9,5,128},{7,7,25},{7,6,15},{9,8,384},{7,4,4},{7,4,2},{7,4,7},
{7,6,13},{7,4,3},{7,7,18},{7,4,5},{7,7,21},{7,6,17},{9,7,256},{7,4,6},{7,6,1},{7,5,8},{9,6,192},{9,5,64},
{7,5,10},{7,4,4},{7,4,2},{7,4,7}
};
static const TIFFFaxTabEnt aig_TIFFFaxBlackTable[8192] = {
{12,11,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,18},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,17},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1792},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,23},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,20},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,25},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,128},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,56},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,30},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,11,1856},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,57},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,21},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,54},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,52},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,48},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2112},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,44},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,36},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,384},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,28},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,60},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,40},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2368},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,16},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,10,64},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,18},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,17},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,1984},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,50},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,34},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1664},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,26},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,13,1408},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,32},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1920},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,61},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,42},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1024},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,768},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,62},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2240},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,46},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,38},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,13,512},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,19},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,24},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,22},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,2496},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,16},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,10,64},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{12,11,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,18},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,17},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1792},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,23},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,20},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,25},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,12,192},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1280},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,31},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1856},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,58},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,21},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,13,896},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,640},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,49},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,2176},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,45},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,37},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,448},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,29},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,13,1536},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,41},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2432},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,16},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,10,64},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,18},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,17},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2048},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,51},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,35},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,12,320},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,27},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,59},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,33},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,11,1920},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,256},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,43},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1152},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,55},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,63},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2304},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,47},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,39},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,53},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,19},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,24},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,22},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2560},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,16},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,10,64},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{12,11,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,18},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,17},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,11,1792},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,23},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,20},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,25},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,128},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,56},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,30},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1856},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,57},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,21},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,54},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,52},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,48},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2112},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,44},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,36},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,12,384},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,28},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,60},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,40},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,2368},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,16},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,10,64},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,18},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,17},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,1984},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,50},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,34},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1728},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,26},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1472},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,32},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1920},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,61},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,42},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,13,1088},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,832},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,62},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,2240},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,46},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,38},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,576},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,19},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,24},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,22},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2496},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,16},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,10,64},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{12,11,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,18},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,17},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1792},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,23},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,20},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,25},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,192},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1344},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,31},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,11,1856},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,58},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,11,21},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,960},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,13,704},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,49},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2176},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,45},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,37},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,448},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,29},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1600},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,41},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2432},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,16},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,10,64},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,18},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,17},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,2048},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,51},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,35},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,12,320},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,27},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,59},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,33},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,11,1920},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{10,12,256},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,43},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,13,1216},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,13},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,9,15},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,55},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,63},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{11,12,2304},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,47},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,12,39},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,12,53},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,8,14},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{0,0,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,13},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,19},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,24},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,7,11},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,11,22},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{11,12,2560},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,9},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,10},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,10,16},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,10,0},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{10,10,64},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,6,9},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,11},{8,2,3},{8,3,1},{8,2,2},
{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2},
{8,8,14},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},{8,6,8},{8,2,3},{8,3,1},{8,2,2},
{8,4,5},{8,2,3},{8,3,4},{8,2,2},{8,7,12},{8,2,3},{8,3,1},{8,2,2},{8,4,6},{8,2,3},{8,3,4},{8,2,2},
{8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2}
};

static const unsigned char aig_TIFFBitRevTable[256] = {
    0x00, 0x80, 0x40, 0xc0, 0x20, 0xa0, 0x60, 0xe0,
    0x10, 0x90, 0x50, 0xd0, 0x30, 0xb0, 0x70, 0xf0,
    0x08, 0x88, 0x48, 0xc8, 0x28, 0xa8, 0x68, 0xe8,
    0x18, 0x98, 0x58, 0xd8, 0x38, 0xb8, 0x78, 0xf8,
    0x04, 0x84, 0x44, 0xc4, 0x24, 0xa4, 0x64, 0xe4,
    0x14, 0x94, 0x54, 0xd4, 0x34, 0xb4, 0x74, 0xf4,
    0x0c, 0x8c, 0x4c, 0xcc, 0x2c, 0xac, 0x6c, 0xec,
    0x1c, 0x9c, 0x5c, 0xdc, 0x3c, 0xbc, 0x7c, 0xfc,
    0x02, 0x82, 0x42, 0xc2, 0x22, 0xa2, 0x62, 0xe2,
    0x12, 0x92, 0x52, 0xd2, 0x32, 0xb2, 0x72, 0xf2,
    0x0a, 0x8a, 0x4a, 0xca, 0x2a, 0xaa, 0x6a, 0xea,
    0x1a, 0x9a, 0x5a, 0xda, 0x3a, 0xba, 0x7a, 0xfa,
    0x06, 0x86, 0x46, 0xc6, 0x26, 0xa6, 0x66, 0xe6,
    0x16, 0x96, 0x56, 0xd6, 0x36, 0xb6, 0x76, 0xf6,
    0x0e, 0x8e, 0x4e, 0xce, 0x2e, 0xae, 0x6e, 0xee,
    0x1e, 0x9e, 0x5e, 0xde, 0x3e, 0xbe, 0x7e, 0xfe,
    0x01, 0x81, 0x41, 0xc1, 0x21, 0xa1, 0x61, 0xe1,
    0x11, 0x91, 0x51, 0xd1, 0x31, 0xb1, 0x71, 0xf1,
    0x09, 0x89, 0x49, 0xc9, 0x29, 0xa9, 0x69, 0xe9,
    0x19, 0x99, 0x59, 0xd9, 0x39, 0xb9, 0x79, 0xf9,
    0x05, 0x85, 0x45, 0xc5, 0x25, 0xa5, 0x65, 0xe5,
    0x15, 0x95, 0x55, 0xd5, 0x35, 0xb5, 0x75, 0xf5,
    0x0d, 0x8d, 0x4d, 0xcd, 0x2d, 0xad, 0x6d, 0xed,
    0x1d, 0x9d, 0x5d, 0xdd, 0x3d, 0xbd, 0x7d, 0xfd,
    0x03, 0x83, 0x43, 0xc3, 0x23, 0xa3, 0x63, 0xe3,
    0x13, 0x93, 0x53, 0xd3, 0x33, 0xb3, 0x73, 0xf3,
    0x0b, 0x8b, 0x4b, 0xcb, 0x2b, 0xab, 0x6b, 0xeb,
    0x1b, 0x9b, 0x5b, 0xdb, 0x3b, 0xbb, 0x7b, 0xfb,
    0x07, 0x87, 0x47, 0xc7, 0x27, 0xa7, 0x67, 0xe7,
    0x17, 0x97, 0x57, 0xd7, 0x37, 0xb7, 0x77, 0xf7,
    0x0f, 0x8f, 0x4f, 0xcf, 0x2f, 0xaf, 0x6f, 0xef,
    0x1f, 0x9f, 0x5f, 0xdf, 0x3f, 0xbf, 0x7f, 0xff
};

#if 0  /* Unused */
static const unsigned char aig_TIFFNoBitRevTable[256] = {
    0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
    0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
    0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
    0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f,
    0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27,
    0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f,
    0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37,
    0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f,
    0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47,
    0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f,
    0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57,
    0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f,
    0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67,
    0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f,
    0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77,
    0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f,
    0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87,
    0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f,
    0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97,
    0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f,
    0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7,
    0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf,
    0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7,
    0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf,
    0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7,
    0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf,
    0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7,
    0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf,
    0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7,
    0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef,
    0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7,
    0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff,
};
#endif  /* Unused */

/*
 * The following macros define the majority of the G3/G4 decoder
 * algorithm using the state tables defined elsewhere.  To build
 * a decoder you need some setup code and some glue code. Note
 * that you may also need/want to change the way the NeedBits*
 * macros get input data if, for example, you know the data to be
 * decoded is properly aligned and oriented (doing so before running
 * the decoder can be a big performance win).
 *
 * Consult the decoder in the TIFF library for an idea of what you
 * need to define and setup to make use of these definitions.
 *
 * NB: to enable a debugging version of these macros define FAX3_DEBUG
 *     before including this file.  Trace output goes to stdout.
 */

#ifndef EndOfData
#define EndOfData()	(cp >= ep)
#endif
/*
 * Need <=8 or <=16 bits of input data.  Unlike viewfax we
 * cannot use/assume a word-aligned, properly bit swizzled
 * input data set because data may come from an arbitrarily
 * aligned, read-only source such as a memory-mapped file.
 * Note also that the viewfax decoder does not check for
 * running off the end of the input data buffer.  This is
 * possible for G3-encoded data because it prescans the input
 * data to count EOL markers, but can cause problems for G4
 * data.  In any event, we don't prescan and must watch for
 * running out of data since we can't permit the library to
 * scan past the end of the input data buffer.
 *
 * Finally, note that we must handle remaindered data at the end
 * of a strip specially.  The coder asks for a fixed number of
 * bits when scanning for the next code.  This may be more bits
 * than are actually present in the data stream.  If we appear
 * to run out of data but still have some number of valid bits
 * remaining then we makeup the requested amount with zeros and
 * return successfully.  If the returned data is incorrect then
 * we should be called again and get a premature EOF error;
 * otherwise we should get the right answer.
 */
#ifndef NeedBits8
#define NeedBits8(n,eoflab) do {					\
    if (BitsAvail < (n)) {						\
	if (EndOfData()) {						\
	    if (BitsAvail == 0)			/* no valid bits */	\
		goto eoflab;						\
	    BitsAvail = (n);			/* pad with zeros */	\
	} else {							\
	    BitAcc |= ((GUInt32) bitmap[*cp++])<<BitsAvail;		\
	    BitsAvail += 8;						\
	}								\
    }									\
} while (0)
#endif
#ifndef NeedBits16
#define NeedBits16(n,eoflab) do {					\
    if (BitsAvail < (n)) {						\
	if (EndOfData()) {						\
	    if (BitsAvail == 0)			/* no valid bits */	\
		goto eoflab;						\
	    BitsAvail = (n);			/* pad with zeros */	\
	} else {							\
	    BitAcc |= ((GUInt32) bitmap[*cp++])<<BitsAvail;		\
	    if ((BitsAvail += 8) < (n)) {				\
		if (EndOfData()) {					\
		    /* NB: we know BitsAvail is non-zero here */	\
		    BitsAvail = (n);		/* pad with zeros */	\
		} else {						\
		    BitAcc |= ((GUInt32) bitmap[*cp++])<<BitsAvail;	\
		    BitsAvail += 8;					\
		}							\
	    }								\
	}								\
    }									\
} while (0)
#endif
#define GetBits(n)	(BitAcc & ((1<<(n))-1))
#define ClrBits(n) do {							\
    BitsAvail -= (n);							\
    BitAcc >>= (n);							\
} while (0)

#ifdef FAX3_DEBUG
static const char* StateNames[] = {
    "Null   ",
    "Pass   ",
    "Horiz  ",
    "V0     ",
    "VR     ",
    "VL     ",
    "Ext    ",
    "TermW  ",
    "TermB  ",
    "MakeUpW",
    "MakeUpB",
    "MakeUp ",
    "EOL    ",
};
#define DEBUG_SHOW putchar(BitAcc & (1 << t) ? '1' : '0')
#define LOOKUP8(wid,tab,eoflab) do {					\
    int t;								\
    NeedBits8(wid,eoflab);						\
    TabEnt = tab + GetBits(wid);					\
    printf("%08lX/%d: %s%5d\t", (long) BitAcc, BitsAvail,/*ok*/ 	\
	   StateNames[TabEnt->State], TabEnt->Param);			\
    for (t = 0; t < TabEnt->Width; t++)					\
	DEBUG_SHOW;							\
    putchar('\n');							\
    fflush(stdout);							\
    ClrBits(TabEnt->Width);						\
} while (0)
#define LOOKUP16(wid,tab,eoflab) do {					\
    int t;								\
    NeedBits16(wid,eoflab);						\
    TabEnt = tab + GetBits(wid);					\
    printf("%08lX/%d: %s%5d\t", (long) BitAcc, BitsAvail,/*ok*/ 	\
	   StateNames[TabEnt->State], TabEnt->Param);			\
    for (t = 0; t < TabEnt->Width; t++)					\
	DEBUG_SHOW;							\
    putchar('\n');							\
    fflush(stdout);							\
    ClrBits(TabEnt->Width);						\
} while (0)

#define SETVAL(x) do {							\
    *pa++ = RunLength + (x);						\
    printf("SETVAL: %d\t%d\n", RunLength + (x), a0);	/*ok*/     	\
    a0 += x;								\
    RunLength = 0;							\
} while (0)
#else
#define LOOKUP8(wid,tab,eoflab) do {					\
    NeedBits8(wid,eoflab);						\
    TabEnt = tab + GetBits(wid);					\
    ClrBits(TabEnt->Width);						\
} while (0)
#define LOOKUP16(wid,tab,eoflab) do {					\
    NeedBits16(wid,eoflab);						\
    TabEnt = tab + GetBits(wid);					\
    ClrBits(TabEnt->Width);						\
} while (0)

/*
 * Append a run to the run length array for the
 * current row and reset decoding state.
 */
#define SETVAL(x) do {							\
    *pa++ = RunLength + (x);						\
    a0 += (x);								\
    RunLength = 0;							\
} while (0)
#endif

/*
 * Synchronize input decoding at the start of each
 * row by scanning for an EOL (if appropriate) and
 * skipping any trash data that might be present
 * after a decoding error.  Note that the decoding
 * done elsewhere that recognizes an EOL only consumes
 * 11 consecutive zero bits.  This means that if EOLcnt
 * is non-zero then we still need to scan for the final flag
 * bit that is part of the EOL code.
 */
#define	SYNC_EOL(eoflab) do {						\
    if (EOLcnt == 0) {							\
	for (;;) {							\
	    NeedBits16(11,eoflab);					\
	    if (GetBits(11) == 0)					\
		break;							\
	    ClrBits(1);							\
	}								\
    }									\
    for (;;) {								\
	NeedBits8(8,eoflab);						\
	if (GetBits(8))							\
	    break;							\
	ClrBits(8);							\
    }									\
    while (GetBits(1) == 0)						\
	ClrBits(1);							\
    ClrBits(1);				/* EOL bit */			\
    EOLcnt = 0;				/* reset EOL counter/flag */	\
} while (0)

/*
 * Cleanup the array of runs after decoding a row.
 * We adjust final runs to insure the user buffer is not
 * overwritten and/or undecoded area is white filled.
 */
#define	CLEANUP_RUNS() do {						\
    if (RunLength)							\
	SETVAL(0);							\
    if (a0 != lastx) {							\
	badlength(a0, lastx);						\
	while (a0 > lastx && pa > thisrun)				\
	    a0 -= *--pa;						\
	if (a0 < lastx) {						\
	    if (a0 < 0)							\
		a0 = 0;							\
	    if ((pa-thisrun)&1)						\
		SETVAL(0);						\
	    SETVAL(lastx - a0);						\
	} else if (a0 > lastx) {					\
	    SETVAL(lastx);						\
	    SETVAL(0);							\
	}								\
    }									\
} while (0)

/*
 * Decode a line of 1D-encoded data.
 *
 * The line expanders are written as macros so that they can be reused
 * but still have direct access to the local variables of the "calling"
 * function.
 *
 * Note that unlike the original version we have to explicitly test for
 * a0 >= lastx after each black/white run is decoded.  This is because
 * the original code depended on the input data being zero-padded to
 * insure the decoder recognized an EOL before running out of data.
 */

/*
 * Update the value of b1 using the array
 * of runs for the reference line.
 */
#define CHECK_b1 do {							\
    if (pa != thisrun) while (b1 <= a0 && b1 < lastx) {			\
	b1 += pb[0] + pb[1];						\
	pb += 2;							\
    }									\
} while (0)

/* ==================================================================== */
/*      Declarations from tif_fax3.c                                    */
/* ==================================================================== */

/*
 * Compression+decompression state blocks are
 * derived from this ``base state'' block.
 */
typedef struct {
        int     rw_mode;                /* O_RDONLY for decode, else encode */
	int	mode;			/* operating mode */
	GUInt32	rowbytes;		/* bytes in a decoded scanline */
	GUInt32	rowpixels;		/* pixels in a scanline */

	GUInt16	cleanfaxdata;		/* CleanFaxData tag */
	GUInt32	badfaxrun;		/* BadFaxRun tag */
	GUInt32	badfaxlines;		/* BadFaxLines tag */
	GUInt32	groupoptions;		/* Group 3/4 options tag */
	GUInt32	recvparams;		/* encoded Class 2 session params */
	char*	subaddress;		/* subaddress string */
	GUInt32	recvtime;		/* time spent receiving (secs) */
} Fax3BaseState;
#define	Fax3State(tif)		((Fax3BaseState*) tif)

typedef struct {
	Fax3BaseState b;
	const unsigned char* bitmap;		/* bit reversal table */
	GUInt32	data;			/* current i/o byte/word */
	int	bit;			/* current i/o bit in byte */
	int	EOLcnt;			/* count of EOL codes recognized */
	TIFFFaxFillFunc fill;		/* fill routine */
	GUInt32*	runs;			/* b&w runs for current/previous row */
	GUInt32*	refruns;		/* runs for reference line */
	GUInt32*	curruns;		/* runs for current line */
} Fax3DecodeState;
#define	DecoderState(tif)	((Fax3DecodeState*) Fax3State(tif))

typedef enum { G3_1D, G3_2D } Ttag;
#ifdef notdef
typedef struct {
	Fax3BaseState b;
	int	data;			/* current i/o byte */
	int	bit;			/* current i/o bit in byte */
	Ttag    tag;	                /* encoding state */
	unsigned char*	refline;		/* reference line for 2d decoding */
	int	k;			/* #rows left that can be 2d encoded */
	int	maxk;			/* max #rows that can be 2d encoded */
} Fax3EncodeState;
#define	EncoderState(tif)	((Fax3EncodeState*) Fax3State(tif))
#endif

#define	is2DEncoding(sp) \
	(sp->b.groupoptions & GROUP3OPT_2DENCODING)
#define	isAligned(p,t)	((((size_t)(p)) & (sizeof (t)-1)) == 0)

/*
 * Group 3 and Group 4 Decoding.
 */

/*
 * These macros glue the TIFF library state to
 * the state expected by Frank's decoder.
 */
#define	DECLARE_STATE(tif, sp)						\
    Fax3DecodeState* sp = DecoderState(tif);				\
    int a0;				/* reference element */		\
    int lastx = sp->b.rowpixels;	/* last element in row */	\
    GUInt32 BitAcc;			/* bit accumulator */		\
    int BitsAvail;			/* # valid bits in BitAcc */	\
    int RunLength;			/* length of current run */	\
    unsigned char* cp;				/* next byte of input data */	\
    unsigned char* ep;				/* end of input data */		\
    GUInt32* pa;				/* place to stuff next run */	\
    GUInt32* thisrun;			/* current row's run array */	\
    int EOLcnt;				/* # EOL codes recognized */	\
    const unsigned char* bitmap = sp->bitmap;	/* input data bit reverser */	\
    const TIFFFaxTabEnt* TabEnt
#define	DECLARE_STATE_2D(tif, sp, mod)					\
    DECLARE_STATE(tif, sp, mod);					\
    int b1;				/* next change on prev line */	\
    GUInt32* pb				/* next run in reference line */\
/*
 * Load any state that may be changed during decoding.
 */
#define	CACHE_STATE(sp) do {						\
    BitAcc = sp->data;							\
    BitsAvail = sp->bit;						\
    EOLcnt = sp->EOLcnt;						\
    cp = (unsigned char*) rawcp;					\
    ep = cp + rawcc;							\
} while (0)
/*
 * Save state possibly changed during decoding.
 */
#define	UNCACHE_STATE(sp) do {						\
    sp->bit = BitsAvail;						\
    sp->data = BitAcc;							\
    sp->EOLcnt = EOLcnt;						\
    rawcc -= (int)((unsigned char *) cp - rawcp);			\
    rawcp = (unsigned char *) cp;					\
} while (0)

/*
 * Routine for handling various errors/conditions.
 * Note how they are "glued into the decoder" by
 * overriding the definitions used by the decoder.
 */

static void
Fax3Unexpected()
{
    CPLError( CE_Failure, CPLE_AppDefined,
              "Bad code word" );
}
#define	unexpected(table, a0)	Fax3Unexpected()

static void
Fax3BadLength(GUInt32 a0, GUInt32 lastx)
{
    CPLError( CE_Warning, CPLE_AppDefined,
              "%s (got %lu, expected %lu)",
              a0 < lastx ? "Premature EOL" : "Line length mismatch",
              (unsigned long) a0, (unsigned long) lastx );
}

#define	badlength(a0,lastx)	Fax3BadLength(a0, lastx)

static void
Fax3PrematureEOF()
{
    CPLError( CE_Warning, CPLE_AppDefined,
              "Premature EOF" );
}
#define	prematureEOF(a0)	Fax3PrematureEOF()

#define	Nop

/*
 * The ZERO & FILL macros must handle spans < 2*sizeof(long) bytes.
 * For machines with 64-bit longs this is <16 bytes; otherwise
 * this is <8 bytes.  We optimize the code here to reflect the
 * machine characteristics.
 */

#if __GNUC__ >= 7
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wimplicit-fallthrough"
#endif

#if SIZEOF_UNSIGNED_LONG == 8
#define FILL(n, cp)							    \
    switch (n) {							    \
    case 15:(cp)[14] = 0xff; case 14:(cp)[13] = 0xff; case 13: (cp)[12] = 0xff;\
    case 12:(cp)[11] = 0xff; case 11:(cp)[10] = 0xff; case 10: (cp)[9] = 0xff;\
    case  9: (cp)[8] = 0xff; case  8: (cp)[7] = 0xff; case  7: (cp)[6] = 0xff;\
    case  6: (cp)[5] = 0xff; case  5: (cp)[4] = 0xff; case  4: (cp)[3] = 0xff;\
    case  3: (cp)[2] = 0xff; case  2: (cp)[1] = 0xff;			      \
    case  1: (cp)[0] = 0xff; (cp) += (n); case 0:  ;			      \
    }
#define ZERO(n, cp)							\
    switch (n) {							\
    case 15:(cp)[14] = 0; case 14:(cp)[13] = 0; case 13: (cp)[12] = 0;	\
    case 12:(cp)[11] = 0; case 11:(cp)[10] = 0; case 10: (cp)[9] = 0;	\
    case  9: (cp)[8] = 0; case  8: (cp)[7] = 0; case  7: (cp)[6] = 0;	\
    case  6: (cp)[5] = 0; case  5: (cp)[4] = 0; case  4: (cp)[3] = 0;	\
    case  3: (cp)[2] = 0; case  2: (cp)[1] = 0;			      	\
    case  1: (cp)[0] = 0; (cp) += (n); case 0:  ;			\
    }
#else
#define FILL(n, cp)							    \
    switch (n) {							    \
    case 7: (cp)[6] = 0xff; case 6: (cp)[5] = 0xff; case 5: (cp)[4] = 0xff; \
    case 4: (cp)[3] = 0xff; case 3: (cp)[2] = 0xff; case 2: (cp)[1] = 0xff; \
    case 1: (cp)[0] = 0xff; (cp) += (n); case 0:  ;			    \
    }
#define ZERO(n, cp)							\
    switch (n) {							\
    case 7: (cp)[6] = 0; case 6: (cp)[5] = 0; case 5: (cp)[4] = 0;	\
    case 4: (cp)[3] = 0; case 3: (cp)[2] = 0; case 2: (cp)[1] = 0;	\
    case 1: (cp)[0] = 0; (cp) += (n); case 0:  ;			\
    }
#endif

/************************************************************************/
/*                         _TIFFFax3fillruns()                          */
/*                                                                      */
/*      Bit-fill a row according to the white/black                     */
/*      runs generated during G3/G4 decoding.                           */
/************************************************************************/

static void
aig_TIFFFax3fillruns(unsigned char* buf, GUInt32* runs, GUInt32* erun,
                  GUInt32 lastx)
{
	static const unsigned char _fillmasks[] =
	    { 0x00, 0x80, 0xc0, 0xe0, 0xf0, 0xf8, 0xfc, 0xfe, 0xff };
	unsigned char* cp;
	GUInt32 x, bx, run;
	GInt32 n, nw;
	long* lp;

	if ((erun-runs)&1)
	    *erun++ = 0;
	x = 0;
	for (; runs < erun; runs += 2) {
	    run = runs[0];
	    if (x+run > lastx || run > lastx )
		run = runs[0] = (GUInt32) (lastx - x);
	    if (run) {
		cp = buf + (x>>3);
		bx = x&7;
		if (run > 8-bx) {
		    if (bx) {			/* align to byte boundary */
			*cp++ &= 0xff << (8-bx);
			run -= 8-bx;
		    }
		    if( (n = run >> 3) != 0 ) {	/* multiple bytes to fill */
			if ((n/sizeof (long)) > 1) {
			    /*
			     * Align to longword boundary and fill.
			     */
			    for (; n && !isAligned(cp, long); n--)
				    *cp++ = 0x00;
			    lp = (long*) (void*) cp;
			    nw = (GInt32)(n / sizeof (long));
			    n -= nw * sizeof (long);
			    do {
				    *lp++ = 0L;
			    } while (--nw);
			    cp = (unsigned char*) (void*) lp;
			}
			ZERO(n, cp);
			run &= 7;
		    }
		    if (run)
			cp[0] &= 0xff >> run;
		} else
		    cp[0] &= ~(_fillmasks[run]>>bx);
		x += runs[0];
	    }
	    run = runs[1];
	    if (x+run > lastx || run > lastx )
		run = runs[1] = lastx - x;
	    if (run) {
		cp = buf + (x>>3);
		bx = x&7;
		if (run > 8-bx) {
		    if (bx) {			/* align to byte boundary */
			*cp++ |= 0xff >> bx;
			run -= 8-bx;
		    }
		    if( (n = run>>3) != 0 ) {	/* multiple bytes to fill */
			if ((n/sizeof (long)) > 1) {
			    /*
			     * Align to longword boundary and fill.
			     */
			    for (; n && !isAligned(cp, long); n--)
				*cp++ = 0xff;
			    lp = (long*) (void*) cp;
			    nw = (GInt32)(n / sizeof (long));
			    n -= nw * sizeof (long);
			    do {
				*lp++ = -1L;
			    } while (--nw);
			    cp = (unsigned char*) (void*) lp;
			}
			FILL(n, cp);
			run &= 7;
		    }
		    if (run)
			cp[0] |= 0xff00 >> run;
		} else
		    cp[0] |= _fillmasks[run]>>bx;
		x += runs[1];
	    }
	}
	assert(x == lastx);
}
#undef	ZERO
#undef	FILL

#if __GNUC__ >= 7
#pragma GCC diagnostic pop
#endif

/************************************************************************/
/*                           Fax3DecodeRLE()                            */
/*                                                                      */
/*      Decode the requested amount of RLE-encoded data.                */
/************************************************************************/

static int
Fax3DecodeRLE(Fax3BaseState* tif, unsigned char *buf, int occ,
              unsigned char *rawcp, int rawcc )
{
    DECLARE_STATE(tif, sp);
    int mode = sp->b.mode;
    if( occ % sp->b.rowbytes)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "Fractional scanlines cannot be read");
        return (-1);
    }

    CACHE_STATE(sp);
    thisrun = sp->curruns;
    while ((long)occ > 0) {
        a0 = 0;
        RunLength = 0;
        pa = thisrun;
#ifdef FAX3_DEBUG
        printf("\nBitAcc=%08X, BitsAvail = %d\n", BitAcc, BitsAvail);/*ok*/
        printf("-------------------- \n");/*ok*/
        fflush(stdout);
#endif

/* -------------------------------------------------------------------- */
/*      EXPAND1D()                                                      */
/*                                                                      */
/*                                                                      */
/*       Decode a line of 1D-encoded data.                              */
/*                                                                      */
/*      The line expanders are written as macros so that they can       */
/*      be  reused but still have direct access to the local            */
/*      variables of the "calling" function.                            */
/*                                                                      */
/*      Note that unlike the original version we have to explicitly     */
/*      test for a0 >= lastx after each black/white run is decoded.     */
/*      This is because the original code depended on the input data    */
/*      being zero-padded to insure the decoder recognized an EOL       */
/*      before running out of data.                                     */
/* -------------------------------------------------------------------- */
        do {
            for (;;) {
                for (;;) {
                    LOOKUP16(12, aig_TIFFFaxWhiteTable, eof1d);
                    switch (TabEnt->State) {
                      case S_EOL:
                        EOLcnt = 1;
                        goto done1d;
                      case S_TermW:
                        SETVAL(TabEnt->Param);
                        goto doneWhite1d;
                      case S_MakeUpW:
                      case S_MakeUp:
                        a0 += TabEnt->Param;
                        RunLength += TabEnt->Param;
                        break;
                      default:
                        unexpected("WhiteTable", a0);
                        goto done1d;
                    }
                }
              doneWhite1d:
                if (a0 >= lastx)
                    goto done1d;
                for (;;) {
                    LOOKUP16(13, aig_TIFFFaxBlackTable, eof1d);
                    switch (TabEnt->State) {
                      case S_EOL:
                        EOLcnt = 1;
                        goto done1d;
                      case S_TermB:
                        SETVAL(TabEnt->Param);
                        goto doneBlack1d;
                      case S_MakeUpB:
                      case S_MakeUp:
                        a0 += TabEnt->Param;
                        RunLength += TabEnt->Param;
                        break;
                      default:
                        unexpected("BlackTable", a0);
                        goto done1d;
                    }
                }
              doneBlack1d:
                if (a0 >= lastx)
                    goto done1d;
                if( *(pa-1) == 0 && *(pa-2) == 0 )
                    pa -= 2;
            }
          eof1d:
            prematureEOF(a0);
            CLEANUP_RUNS();
            goto EOFRLE;
          done1d:
            CLEANUP_RUNS();
        } while (0);

/* -------------------------------------------------------------------- */
/*      Fill                                                            */
/* -------------------------------------------------------------------- */
        (*sp->fill)(buf, thisrun, pa, lastx);
        /*
         * Cleanup at the end of the row.
         */
        if (mode & FAXMODE_BYTEALIGN) {
            int n = BitsAvail - (BitsAvail &~ 7);
            ClrBits(n);
        } else if (mode & FAXMODE_WORDALIGN) {
            int n = BitsAvail - (BitsAvail &~ 15);
            ClrBits(n);
            if (BitsAvail == 0 && !isAligned(cp, GUInt16))
                cp++;
        }
        buf += sp->b.rowbytes;
        occ -= sp->b.rowbytes;
#ifdef notdef
        if (occ != 0)
            tif->tif_row++;
#endif
        continue;
      EOFRLE:				/* premature EOF */
        (*sp->fill)(buf, thisrun, pa, lastx);
        UNCACHE_STATE(sp);
        return (-1);
    }
    UNCACHE_STATE(sp);

    return (1);
}


/************************************************************************/
/*                       DecompressCCITTRLETile()                       */
/************************************************************************/

CPLErr DecompressCCITTRLETile( unsigned char *pabySrcData, int nSrcBytes,
                               unsigned char *pabyDstData, int nDstBytes,
                               int nBlockXSize,
                               CPL_UNUSED int nBlockYSize )
{
    Fax3DecodeState  sDecoderState;
    Fax3BaseState* sp = (Fax3BaseState *) &sDecoderState;
    unsigned char runs_buf[4000];
    long rowbytes, rowpixels;

    memset( &sDecoderState, 0, sizeof(sDecoderState) );

    sp->groupoptions = 0;
    sp->recvparams = 0;
    sp->subaddress = NULL;

    DecoderState(sp)->runs = NULL;
    DecoderState(sp)->fill = aig_TIFFFax3fillruns;

    if( sizeof(runs_buf) < (size_t)(nBlockXSize * 2 + 3) )
    {
        CPLError(CE_Failure, CPLE_AppDefined, "Run buffer too small");
        return CE_Failure;
    }

/* -------------------------------------------------------------------- */
/*                                                                      */
/* -------------------------------------------------------------------- */
    /*
     * Calculate the scanline/tile widths.
     */
    rowbytes = (nBlockXSize + 7) / 8;
    rowpixels = nBlockXSize;

    sp->rowbytes = (GUInt32) rowbytes;
    sp->rowpixels = (GUInt32) rowpixels;
    sp->mode |= FAXMODE_BYTEALIGN;
    /*
     * Allocate any additional space required for decoding/encoding.
     */
    {
        Fax3DecodeState* dsp = DecoderState(sp);

        dsp->runs = (GUInt32*) runs_buf;
        dsp->curruns = dsp->runs;
        dsp->refruns = NULL;
    }

/* -------------------------------------------------------------------- */
/*                                                                      */
/* -------------------------------------------------------------------- */
    DecoderState(sp)->bit = 0;		/* force initial read */
    DecoderState(sp)->data = 0;
    DecoderState(sp)->EOLcnt = 0;	/* force initial scan for EOL */

    DecoderState(sp)->bitmap = aig_TIFFBitRevTable;

    if (DecoderState(sp)->refruns) {	/* init reference line to white */
        DecoderState(sp)->refruns[0] = (GUInt32) DecoderState(sp)->b.rowpixels;
        DecoderState(sp)->refruns[1] = 0;
    }

    if( Fax3DecodeRLE( sp, pabyDstData, nDstBytes,
                       pabySrcData, nSrcBytes ) == 1 )
        return CE_None;
    else
        return CE_Failure;
}
